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Simplifying 49x2 + 42xy + 9y2 = 0 Reorder the terms: 42xy + 49x2 + 9y2 = 0 Solving 42xy + 49x2 + 9y2 = 0 Solving for variable 'x'. Factor a trinomial. (7x + 3y)(7x + 3y) = 0Subproblem 1
Set the factor '(7x + 3y)' equal to zero and attempt to solve: Simplifying 7x + 3y = 0 Solving 7x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 7x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 7x + 0 = 0 + -3y 7x = 0 + -3y Remove the zero: 7x = -3y Divide each side by '7'. x = -0.4285714286y Simplifying x = -0.4285714286ySubproblem 2
Set the factor '(7x + 3y)' equal to zero and attempt to solve: Simplifying 7x + 3y = 0 Solving 7x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 7x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 7x + 0 = 0 + -3y 7x = 0 + -3y Remove the zero: 7x = -3y Divide each side by '7'. x = -0.4285714286y Simplifying x = -0.4285714286ySolution
x = {-0.4285714286y, -0.4285714286y}
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